%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC184+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:14:09 EDT 2022
% Result : Theorem 9.40s 2.70s
% Output : CNFRefutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 39
% Syntax : Number of clauses : 152 ( 35 unt; 30 nHn; 152 RR)
% Number of literals : 416 ( 120 equ; 245 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 150 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_200,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_200) ).
cnf(i_0_204,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_204) ).
cnf(i_0_157,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_157) ).
cnf(i_0_201,negated_conjecture,
ssList(esk54_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_201) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_58) ).
cnf(i_0_202,negated_conjecture,
ssList(esk53_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_202) ).
cnf(i_0_158,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_158) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_43) ).
cnf(i_0_203,negated_conjecture,
ssItem(esk52_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_203) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_44) ).
cnf(i_0_45,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_45) ).
cnf(i_0_155,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_155) ).
cnf(i_0_195,negated_conjecture,
( esk50_0 = nil
| cons(esk55_0,nil) = esk50_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_195) ).
cnf(i_0_197,negated_conjecture,
( esk50_0 = nil
| ssItem(esk55_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_197) ).
cnf(i_0_81,plain,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_81) ).
cnf(i_0_154,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_154) ).
cnf(i_0_209,negated_conjecture,
ssList(esk48_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_209) ).
cnf(i_0_78,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_78) ).
cnf(i_0_79,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_79) ).
cnf(i_0_153,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_153) ).
cnf(i_0_114,plain,
( app(X1,esk32_2(X2,X1)) = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_114) ).
cnf(i_0_115,plain,
( ssList(esk32_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_115) ).
cnf(i_0_88,plain,
( frontsegP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_88) ).
cnf(i_0_113,plain,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_113) ).
cnf(i_0_73,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_73) ).
cnf(i_0_77,plain,
( memberP(cons(X1,X2),X3)
| X3 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_77) ).
cnf(i_0_147,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_147) ).
cnf(i_0_56,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_56) ).
cnf(i_0_54,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_54) ).
cnf(i_0_74,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ memberP(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_74) ).
cnf(i_0_159,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_159) ).
cnf(i_0_33,plain,
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ duplicatefreeP(X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_33) ).
cnf(i_0_86,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1)
| ~ frontsegP(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_86) ).
cnf(i_0_138,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_138) ).
cnf(i_0_99,plain,
( cons(esk31_1(X1),nil) = X1
| ~ ssList(X1)
| ~ singletonP(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_99) ).
cnf(i_0_100,plain,
( ssItem(esk31_1(X1))
| ~ ssList(X1)
| ~ singletonP(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_100) ).
cnf(i_0_98,plain,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_98) ).
cnf(i_0_60,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_60) ).
cnf(i_0_199,negated_conjecture,
( memberP(esk53_0,esk52_0)
| memberP(esk54_0,esk52_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6fothxq5/lgb.p',i_0_199) ).
cnf(c_0_249,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
i_0_200 ).
cnf(c_0_250,negated_conjecture,
esk50_0 = esk48_0,
i_0_204 ).
cnf(c_0_251,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_157 ).
cnf(c_0_252,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_253,negated_conjecture,
ssList(esk54_0),
i_0_201 ).
cnf(c_0_254,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = nil
| esk50_0 != nil
| ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253])]) ).
cnf(c_0_255,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_256,negated_conjecture,
ssList(esk53_0),
i_0_202 ).
cnf(c_0_257,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_158 ).
cnf(c_0_258,plain,
( app(esk53_0,cons(esk52_0,nil)) = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256])]) ).
cnf(c_0_259,plain,
( cons(esk52_0,nil) = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_256])]) ).
cnf(c_0_260,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_261,negated_conjecture,
ssItem(esk52_0),
i_0_203 ).
cnf(c_0_262,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_263,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_45 ).
cnf(c_0_264,plain,
( cons(esk52_0,nil) = nil
| esk50_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261]),c_0_262])]) ).
cnf(c_0_265,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_266,negated_conjecture,
( esk50_0 = nil
| cons(esk55_0,nil) = esk50_0 ),
i_0_195 ).
cnf(c_0_267,plain,
esk50_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_261]),c_0_262])]) ).
cnf(c_0_268,negated_conjecture,
( esk50_0 = nil
| ssItem(esk55_0) ),
i_0_197 ).
cnf(c_0_269,plain,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2) ),
i_0_81 ).
cnf(c_0_270,negated_conjecture,
( app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_265]),c_0_253]),c_0_256])]) ).
cnf(c_0_271,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_272,negated_conjecture,
ssList(esk48_0),
i_0_209 ).
cnf(c_0_273,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
i_0_78 ).
cnf(c_0_274,negated_conjecture,
cons(esk55_0,nil) = esk50_0,
inference(sr,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_275,negated_conjecture,
ssItem(esk55_0),
inference(sr,[status(thm)],[c_0_268,c_0_267]) ).
cnf(c_0_276,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
i_0_79 ).
cnf(c_0_277,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_269]) ).
cnf(c_0_278,plain,
( app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_261]),c_0_253])]) ).
cnf(c_0_279,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_272,c_0_250]) ).
cnf(c_0_280,negated_conjecture,
( esk55_0 = X1
| ~ memberP(esk50_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]),c_0_262])]),c_0_276]) ).
cnf(c_0_281,plain,
( memberP(esk50_0,esk52_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_261]),c_0_279]),c_0_253]),c_0_256])]) ).
cnf(c_0_282,negated_conjecture,
( esk52_0 = esk55_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_261])]) ).
cnf(c_0_283,plain,
esk52_0 = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_260]),c_0_261]),c_0_262])]) ).
cnf(c_0_284,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
i_0_153 ).
cnf(c_0_285,negated_conjecture,
app(esk53_0,app(esk50_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_283]),c_0_274]),c_0_283]),c_0_274]),c_0_279])]) ).
cnf(c_0_286,plain,
( X1 = app(esk50_0,esk54_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(app(esk50_0,esk54_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_256])]) ).
cnf(c_0_287,plain,
( X1 = app(esk50_0,esk54_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_255]),c_0_253]),c_0_279])]) ).
cnf(c_0_288,plain,
( app(X1,esk32_2(X2,X1)) = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1) ),
i_0_114 ).
cnf(c_0_289,plain,
( esk32_2(esk50_0,esk53_0) = app(esk50_0,esk54_0)
| ~ frontsegP(esk50_0,esk53_0)
| ~ ssList(esk32_2(esk50_0,esk53_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_256])])]),c_0_279])]) ).
cnf(c_0_290,plain,
( ssList(esk32_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,X2) ),
i_0_115 ).
cnf(c_0_291,plain,
( frontsegP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(X1,X3) ),
i_0_88 ).
cnf(c_0_292,negated_conjecture,
app(app(esk53_0,esk50_0),esk54_0) = esk50_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_283]),c_0_274]) ).
cnf(c_0_293,plain,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_113 ).
cnf(c_0_294,plain,
( esk32_2(esk50_0,esk53_0) = app(esk50_0,esk54_0)
| ~ frontsegP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_256]),c_0_279])]) ).
cnf(c_0_295,plain,
( frontsegP(esk50_0,X1)
| ~ frontsegP(app(esk53_0,esk50_0),X1)
| ~ ssList(app(esk53_0,esk50_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_253])]) ).
cnf(c_0_296,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_293]),c_0_255]) ).
cnf(c_0_297,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3) ),
i_0_73 ).
cnf(c_0_298,plain,
( memberP(cons(X1,X2),X3)
| X3 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
i_0_77 ).
cnf(c_0_299,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
i_0_147 ).
cnf(c_0_300,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
i_0_56 ).
cnf(c_0_301,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
i_0_54 ).
cnf(c_0_302,plain,
( ssList(app(esk50_0,esk54_0))
| ~ frontsegP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_294]),c_0_256]),c_0_279])]) ).
cnf(c_0_303,plain,
( frontsegP(esk50_0,esk53_0)
| ~ ssList(app(esk53_0,esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_256]),c_0_279])]) ).
cnf(c_0_304,negated_conjecture,
( memberP(esk50_0,X1)
| ~ memberP(esk54_0,X1)
| ~ ssItem(X1)
| ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_252]),c_0_253])]) ).
cnf(c_0_305,plain,
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_298]) ).
cnf(c_0_306,negated_conjecture,
( cons(hd(esk54_0),tl(esk54_0)) = esk54_0
| esk54_0 = nil ),
inference(spm,[status(thm)],[c_0_299,c_0_253]) ).
cnf(c_0_307,negated_conjecture,
( esk54_0 = nil
| ssList(tl(esk54_0)) ),
inference(spm,[status(thm)],[c_0_300,c_0_253]) ).
cnf(c_0_308,negated_conjecture,
( esk54_0 = nil
| ssItem(hd(esk54_0)) ),
inference(spm,[status(thm)],[c_0_301,c_0_253]) ).
cnf(c_0_309,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ memberP(X1,X3) ),
i_0_74 ).
cnf(c_0_310,plain,
( ssList(app(esk50_0,esk54_0))
| ~ ssList(app(esk53_0,esk50_0)) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_311,plain,
( memberP(esk50_0,X1)
| ~ memberP(esk54_0,X1)
| ~ ssItem(X1)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_255]),c_0_256])]) ).
cnf(c_0_312,plain,
( esk54_0 = nil
| memberP(esk54_0,hd(esk54_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]),c_0_308]) ).
cnf(c_0_313,plain,
( memberP(esk50_0,X1)
| ~ memberP(esk53_0,X1)
| ~ ssItem(X1)
| ~ ssList(app(esk50_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_285]),c_0_256])]) ).
cnf(c_0_314,plain,
ssList(app(esk50_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_255]),c_0_279]),c_0_256])]) ).
cnf(c_0_315,negated_conjecture,
( cons(hd(esk53_0),tl(esk53_0)) = esk53_0
| esk53_0 = nil ),
inference(spm,[status(thm)],[c_0_299,c_0_256]) ).
cnf(c_0_316,negated_conjecture,
( esk53_0 = nil
| ssList(tl(esk53_0)) ),
inference(spm,[status(thm)],[c_0_300,c_0_256]) ).
cnf(c_0_317,negated_conjecture,
( esk53_0 = nil
| ssItem(hd(esk53_0)) ),
inference(spm,[status(thm)],[c_0_301,c_0_256]) ).
cnf(c_0_318,plain,
( esk54_0 = nil
| memberP(esk50_0,hd(esk54_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_308]) ).
cnf(c_0_319,plain,
( memberP(esk50_0,X1)
| ~ memberP(esk53_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_314])]) ).
cnf(c_0_320,plain,
( esk53_0 = nil
| memberP(esk53_0,hd(esk53_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_315]),c_0_316]),c_0_317]) ).
cnf(c_0_321,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_159 ).
cnf(c_0_322,plain,
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ duplicatefreeP(X6) ),
i_0_33 ).
cnf(c_0_323,plain,
( esk54_0 = nil
| memberP(esk50_0,hd(esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_260]),c_0_261]),c_0_262])]) ).
cnf(c_0_324,plain,
( esk53_0 = nil
| memberP(esk50_0,hd(esk53_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_317]) ).
cnf(c_0_325,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1)
| ~ frontsegP(X1,X2) ),
i_0_86 ).
cnf(c_0_326,plain,
( frontsegP(esk50_0,esk53_0)
| ~ ssList(app(esk50_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_285]),c_0_256])]) ).
cnf(c_0_327,plain,
( app(esk50_0,esk54_0) = nil
| esk53_0 != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_321]),c_0_262]),c_0_256])]) ).
cnf(c_0_328,plain,
( ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4)))
| ~ ssItem(X2)
| ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_322])]) ).
cnf(c_0_329,plain,
app(esk53_0,cons(esk55_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_283]),c_0_283]),c_0_274]),c_0_279])]) ).
cnf(c_0_330,negated_conjecture,
( hd(esk54_0) = esk55_0
| esk54_0 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_323]),c_0_308]) ).
cnf(c_0_331,negated_conjecture,
( app(esk50_0,X1) = cons(esk55_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_274]),c_0_275])]) ).
cnf(c_0_332,negated_conjecture,
( hd(esk53_0) = esk55_0
| esk53_0 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_324]),c_0_317]) ).
cnf(c_0_333,plain,
( esk53_0 = esk50_0
| ~ frontsegP(esk53_0,esk50_0)
| ~ ssList(app(esk50_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_279]),c_0_256])]) ).
cnf(c_0_334,plain,
esk53_0 != esk50_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_327]),c_0_253]),c_0_279])]),c_0_267]) ).
cnf(c_0_335,plain,
( ~ duplicatefreeP(app(esk50_0,cons(esk55_0,X1)))
| ~ ssList(app(esk50_0,cons(esk55_0,X1)))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_275]),c_0_253]),c_0_256])]) ).
cnf(c_0_336,negated_conjecture,
( cons(esk55_0,tl(esk54_0)) = esk54_0
| esk54_0 = nil ),
inference(spm,[status(thm)],[c_0_306,c_0_330]) ).
cnf(c_0_337,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
i_0_138 ).
cnf(c_0_338,plain,
( cons(esk31_1(X1),nil) = X1
| ~ ssList(X1)
| ~ singletonP(X1) ),
i_0_99 ).
cnf(c_0_339,plain,
( ssItem(esk31_1(X1))
| ~ ssList(X1)
| ~ singletonP(X1) ),
i_0_100 ).
cnf(c_0_340,negated_conjecture,
( frontsegP(cons(esk55_0,X1),esk50_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_331]),c_0_279])]) ).
cnf(c_0_341,negated_conjecture,
( cons(esk55_0,tl(esk53_0)) = esk53_0
| esk53_0 = nil ),
inference(spm,[status(thm)],[c_0_315,c_0_332]) ).
cnf(c_0_342,plain,
~ frontsegP(esk53_0,esk50_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_314])]),c_0_334]) ).
cnf(c_0_343,negated_conjecture,
( esk54_0 = nil
| ~ duplicatefreeP(app(esk50_0,esk54_0))
| ~ ssList(app(esk50_0,esk54_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_307]) ).
cnf(c_0_344,plain,
( duplicatefreeP(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]) ).
cnf(c_0_345,plain,
( app(esk50_0,esk54_0) = cons(esk55_0,esk54_0)
| ~ ssList(cons(esk55_0,esk54_0)) ),
inference(spm,[status(thm)],[c_0_287,c_0_329]) ).
cnf(c_0_346,negated_conjecture,
ssList(cons(esk55_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_331]),c_0_253])]) ).
cnf(c_0_347,negated_conjecture,
esk53_0 = nil,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_342]),c_0_316]) ).
cnf(c_0_348,plain,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
i_0_98 ).
cnf(c_0_349,negated_conjecture,
( esk54_0 = nil
| ~ singletonP(app(esk50_0,esk54_0))
| ~ ssList(app(esk50_0,esk54_0)) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_350,plain,
app(esk50_0,esk54_0) = cons(esk55_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_346])]) ).
cnf(c_0_351,negated_conjecture,
app(app(nil,esk50_0),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_292,c_0_347]) ).
cnf(c_0_352,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_60 ).
cnf(c_0_353,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_348]) ).
cnf(c_0_354,negated_conjecture,
( memberP(esk53_0,esk52_0)
| memberP(esk54_0,esk52_0) ),
i_0_199 ).
cnf(c_0_355,negated_conjecture,
( esk54_0 = nil
| ~ singletonP(cons(esk55_0,esk54_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_314])]),c_0_350]) ).
cnf(c_0_356,plain,
cons(esk55_0,esk54_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_350]),c_0_279])]) ).
cnf(c_0_357,plain,
singletonP(esk50_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_274]),c_0_275]),c_0_279])]) ).
cnf(c_0_358,negated_conjecture,
( memberP(esk54_0,esk55_0)
| memberP(esk53_0,esk55_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_283]),c_0_283]) ).
cnf(c_0_359,negated_conjecture,
esk54_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_356]),c_0_357])]) ).
cnf(c_0_360,negated_conjecture,
memberP(nil,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_347]),c_0_359])]) ).
cnf(c_0_361,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_360]),c_0_275])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC184+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 17:04:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.40/2.70 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.40/2.70 # No SInE strategy applied
% 9.40/2.70 # Trying AutoSched0 for 150 seconds
% 9.40/2.70 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.40/2.70 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.40/2.70 #
% 9.40/2.70 # Preprocessing time : 0.016 s
% 9.40/2.70 # Presaturation interreduction done
% 9.40/2.70
% 9.40/2.70 # Proof found!
% 9.40/2.70 # SZS status Theorem
% 9.40/2.70 # SZS output start CNFRefutation
% See solution above
% 9.40/2.70 # Training examples: 0 positive, 0 negative
% 9.40/2.70
% 9.40/2.70 # -------------------------------------------------
% 9.40/2.70 # User time : 0.106 s
% 9.40/2.70 # System time : 0.008 s
% 9.40/2.70 # Total time : 0.115 s
% 9.40/2.70 # Maximum resident set size: 7120 pages
% 9.40/2.70
%------------------------------------------------------------------------------